Bücher von Piet (Technische Universiteit Delft Van Mieghem

This rigorous, self-contained book describes mathematical and, in particular, stochastic and graph theoretic methods to assess the performance of complex networks and systems. It comprises three parts: the first is a review of probability theory; Part II covers the classical theory of stochastic processes (Poisson, Markov and queueing theory), which are considered to be the basic building blocks for performance evaluation studies; Part III focuses on the rapidly expanding new field of network science. This part deals with the recently obtained insight that many very different large complex networks - such as the Internet, World Wide Web, metabolic and human brain networks, utility infrastructures, social networks - evolve and behave according to general common scaling laws. This understanding is useful when assessing the end-to-end quality of Internet services and when designing robust and secure networks. Containing problems and solved solutions, the book is ideal for graduate students taking courses in performance analysis.

This rigourous and self-contained book describes mathematical and in particular, stochastic methods to assess the performance of networked systems. It concentrates on probability theory, classical theory of stochastic processes and the newer field of physics of networks. Containing problems and solutions, it is ideal for graduate courses in performance analysis.